The protesters say the city's increased use of cameras amounts to a revenue-generating tool and not a means to increase safety.
A Chicago Sun-Times report said Quinn will sign a bill allowing the cameras to be installed.
There are 387 so-called traffic-photo enforcement cameras in Chicago, which is more than any other North American city.
Proponents of the cameras say they deter speeding and, as a result, would make school zones safer for kids.
Drivers seen speeding by the cameras would face fines of at least $50.
Monday is the deadline for Governor Quinn to make a decision.